mathematics with applications in the management, natural, and social sciences twelfth edition
chapter 6: systems of linear equations and matrices
6.1 exercises
23.) according to google trends, popular interest in led lightbulbs has been soaring. while interest in cfls has been dropping. the following equations approximate the google trends rating (on a scale from 0-100) in year x, where x = 10 corresponds to the year 2010. ( data from )
led: -25x + 6y = 20
cfl: 15x + 2y = 322
when did interest in ed lighting surpass cfl lighting? round your answer to the nearest year.

gmt is 4 hrs ahead of edt so just add four hours to 1: 14: 20 (minutes and seconds stay the same)

gmt is 5: 14: 20

hope this !

~just a girl in love with shawn mendes

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

7/2

(decimal: 3.5)

welcome ; )

step-by-step explanation: